Welcome to the Forum.   Thanks for your question.  I'll be glad to comment.  With any new partner there is always a small risk that they might have an STI which could be transmitted.  The STIs most commonly transmitted are chlamydia and, at a lower rate gonorrhea.  HIV infections are uncommon among female CSWs. and transmission occurs on average only about once in  every 1200 genital exposures and even more rarely with oral sex  Your partner's profession and your description of her suggest that while she certainly has had other partners, she sometimes uses condoms and does get check regularly, reducing the likelihood that she was infected.  Further, even if a partner is infected, with any single exposure, it is unlikely that the infection will be transmitted.  Multiple exposures, as you describe increase your risk for infection if your partner did have an STI. 

Thus there is some risk associated with this exposure and it is probably worthwhile for you to seek testing for the most common STIs, both for your peace of mind and to completely rule out the modest chance that you were infected.  At this time, 5 days after your exposures, urine and throat tests for gonorrhea and chlamydia will provide reliable results.  If you wish to be quite thorough, you could also have your urine tested for trichomonas and perhaps Mycoplasma genitalium which is routinely checked for in the UK but not the U.S.  Your risk for both HIV and syphilis is low and it is too early to test.  Blood tests for these infections (syphilis and HIV) will be far more reliable 30 days after your exposure and conclusive at 6 weeks.  We would specifically recommend AGAINST blood tests for herpes as these tests are not recommended for your situation.

That you had shave recently and had cryotherapy for genital warts should not increase your risk for infection.

I hope this information is helpful.  If there are further questions or clarification is needed, please feel free to use your up to two follow-ups for that purpose.  EWH